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Finding the Fourth Proportional to 85,366.86, 127,945.39 and 60,414

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Solution

The fourth proportional to 85,366.86, 127,945.39 and 60,414 is: 90,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,366.86 : 127,945.39 = 60,414 : x
  2. Step 2: Convert to fraction form
    85,366.86/127,945.39 = 60,414/x
  3. Step 3: Cross multiply
    85,366.86x = 127,945.39 × 60,414
  4. Step 4: Simplify right side
    85,366.86x = 7,729,692,791.46
  5. Step 5: Solve for x
    x = 7,729,692,791.46/85,366.86
  6. Step 6: Final answer
    x = 90,546.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.